A multiplicity theorem for hemivariational inequalities with a p -Laplacian-like differential operator

Papageorgiou, NS; Rocha, EM; Staicu, V

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Rocha, EM	en
dc.contributor.author	Staicu, V	en
dc.date.accessioned	2014-03-01T01:27:42Z
dc.date.available	2014-03-01T01:27:42Z
dc.date.issued	2008	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18555
dc.subject	Generalized and convex subdifferentials	en
dc.subject	Locally Lipschitz function	en
dc.subject	Mountain pass theorem	en
dc.subject	Multiple solutions	en
dc.subject	Multivalued (S)+-operator	en
dc.subject	p-Laplacian-type operator	en
dc.subject	PS-condition	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Curve fitting	en
dc.subject.other	Differential equations	en
dc.subject.other	Equations of state	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear programming	en
dc.subject.other	(001) parameter	en
dc.subject.other	(U ,V) operator	en
dc.subject.other	Differential operators	en
dc.subject.other	Elsevier (CO)	en
dc.subject.other	Half line	en
dc.subject.other	hemivariational inequalities	en
dc.subject.other	Multiple solutions	en
dc.subject.other	nonsmooth	en
dc.subject.other	Nonsmooth critical point theory	en
dc.subject.other	Nontrivial solutions	en
dc.subject.other	p (x)-Laplacian	en
dc.subject.other	Variational approach (IGC: E6)	en
dc.subject.other	Nonlinear equations	en
dc.title	A multiplicity theorem for hemivariational inequalities with a p -Laplacian-like differential operator	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2007.06.023	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2007.06.023	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	We consider a parametric nonlinear elliptic inclusion with a multivalued p-Laplacian-like differential operator and a nonsmooth potential (hemivariational inequality). Using a variational approach based on the nonsmooth critical point theory, we show that for all the values of the parameter in an open half-line, the problem admits at least two nontrivial solutions. Our result extends a recent one by Kristaly, Lisei, and Varga [A. KristAly, H. Lisei, C. Varga, Multiple solutions for p-Laplacian type operator, Nonlinear Anal. 68 (5) (2008) 1375-1381]. (c) 2007 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2007.06.023	en
dc.identifier.isi	ISI:000257905800008	en
dc.identifier.volume	69	en
dc.identifier.issue	4	en
dc.identifier.spage	1150	en
dc.identifier.epage	1163	en